A) 6v
B) 9V
C) 3v
D) None of these
Correct Answer: A
Solution :
The gravitational force provides the necessary centripetal force \[\therefore \] \[F=\frac{GMm}{{{r}^{2}}}\] \[=\frac{Mv_{0}^{2}}{r}\] \[{{v}_{0}}=\sqrt{\frac{GM}{r}}\] Given, \[{{v}_{A}}=3v,{{r}_{A}}=R,{{r}_{B}}=4R\] \[\therefore \] \[\frac{3v}{{{v}_{B}}}=\sqrt{\frac{R}{4R}}=\frac{1}{2}\] or \[{{v}_{B}}=6v\]You need to login to perform this action.
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